Search a number
-
+
1805020416 = 28331132311
BaseRepresentation
bin110101110010110…
…0110110100000000
311122210110112112000
41223211212310000
512144041123131
6455035504000
762505264123
oct15345466400
94583415460
101805020416
11846983611
124245b8000
13229c5a224
14131a223ba
15a86eace6
hex6b966d00

1805020416 has 144 divisors (see below), whose sum is σ = 5387329920. Its totient is φ = 596090880.

The previous prime is 1805020403. The next prime is 1805020421. The reversal of 1805020416 is 6140205081.

1805020416 is a `hidden beast` number, since 180 + 50 + 20 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1805020416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779901 + ... + 782211.

Almost surely, 21805020416 is an apocalyptic number.

1805020416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1805020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693664960).

1805020416 is an abundant number, since it is smaller than the sum of its proper divisors (3582309504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1805020416 is a wasteful number, since it uses less digits than its factorization.

1805020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1805020416 is about 42485.5318432052. The cubic root of 1805020416 is about 1217.5702820538.

Adding to 1805020416 its reverse (6140205081), we get a palindrome (7945225497).

The spelling of 1805020416 in words is "one billion, eight hundred five million, twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 256 288 339 384 432 452 576 678 768 864 904 1017 1152 1356 1728 1808 2034 2304 2311 2712 3051 3456 3616 4068 4622 5424 6102 6912 6933 7232 8136 9244 10848 12204 13866 14464 16272 18488 20799 21696 24408 27732 28928 32544 36976 41598 43392 48816 55464 62397 65088 73952 83196 86784 97632 110928 124794 130176 147904 166392 195264 221856 249588 260352 261143 295808 332784 390528 443712 499176 522286 591616 665568 781056 783429 887424 998352 1044572 1331136 1566858 1774848 1996704 2089144 2350287 2662272 3133716 3993408 4178288 4700574 5324544 6267432 7050861 7986816 8356576 9401148 12534864 14101722 15973632 16713152 18802296 25069728 28203444 33426304 37604592 50139456 56406888 66852608 75209184 100278912 112813776 150418368 200557824 225627552 300836736 451255104 601673472 902510208 1805020416